Results 11 to 20 of about 378,438 (215)
Symmetry, 2023 The purpose of this study is to examine the complete lifts from the symmetric and concircular symmetric n-dimensional Lorentzian para-Sasakian manifolds (briefly, (LPS)n) to its tangent bundle TM associated with a Riemannian connection DC and a quarter ...
Mohammad Nazrul Islam Khan +3 more
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Universal Journal of Mathematics and Applications, 2023 The aim of the present paper is to introduce a Sasakian manifold immersed with a quartersymmetric semimetric connection to a tangent bundle. Some basic results are given on a Riemannian connection and a QSSC to the tangent bundle on a Sasakian manifold ...
Lovejoy Swapan Kumar Das +1 more
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Symmetry, 2023 The main aim of the proposed paper is to investigate the lifts of Kenmotsu manifolds that admit NSNMC in the tangent bundle. We investigate several properties of the lifts of the curvature tensor, the conformal curvature tensor, and the conharmonic ...
Rajesh Kumar +2 more
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Mathematics, 2023 The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in ...
Rajesh Kumar +3 more
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Examples of Fano manifolds with non‐pseudoeffective tangent bundle [PDF]
Journal of the London Mathematical Society, 2020 Let X$X$ be a Fano manifold. While the properties of the anticanonical divisor −KX$-K_X$ and its multiples have been studied by many authors, the positivity of the tangent bundle TX$T_X$ is much more elusive.
A. Höring, Jie Liu, Feng Shao
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Projective manifolds whose tangent bundle contains a strictly nef subsheaf [PDF]
Journal of Algebraic Geometry, 2020 Suppose that X X is a projective manifold whose tangent bundle T X T_X contains a locally free strictly nef subsheaf.
Jie Liu, Wenhao Ou, Xiaokui Yang
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Bigness of the tangent bundle of del Pezzo surfaces and D-simplicity [PDF]
Algebra & Number Theory, 2020 We consider the question of simplicity of a ring $R$ under the action of its ring of differential operators $D_R$. We give examples to show that even when $R$ is Gorenstein and has rational singularities $R$ need not be a simple $D_R$-module; for example,
Devlin Mallory
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Simplicity of tangent bundles of smooth horospherical varieties of Picard number one
Comptes Rendus. Mathématique, 2022 Recently, Kanemitsu has discovered a counterexample to the long-standing conjecture that the tangent bundle of a Fano manifold of Picard number one is (semi)stable. His counterexample is a smooth horospherical variety.
Hong, Jaehyun
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Projective varieties with nef tangent bundle in positive characteristic [PDF]
Compositio Mathematica, 2020 Let $X$ be a smooth projective variety defined over an algebraically closed field of positive characteristic $p$ whose tangent bundle is nef. We prove that $X$ admits a smooth morphism $X \to M$ such that the fibers are Fano varieties with nef tangent ...
Akihiro Kanemitsu, Kiwamu Watanabe
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Axioms, 2023 The purpose of this paper is to find some conditions under which the tangent bundle TM has a dualistic structure. Then, we introduce infinitesimal affine transformations on statistical manifolds and investigate these structures on a special statistical ...
Esmaeil Peyghan +2 more
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